Information on Result #684611
Linear OA(792, 117681, F7, 17) (dual of [117681, 117589, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
- linear OA(785, 117650, F7, 17) (dual of [117650, 117565, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(761, 117650, F7, 11) (dual of [117650, 117589, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(77, 31, F7, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(792, 14710, F7, 17, 17) (dual of [(14710, 17), 249978, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |